13
QuizMultiple Choice

Modeling with Functions — Quiz

Question 13 • Mathematics III

Kareem wants to write an equation for the data in the table. x y negative 3 1 eighth negative 2 1 fourth negative 1 1 half 0 1 What is the general form of the equation Kareem can use to represent the data?

Answer
A
y is equal to A x squared plus b x plus c
B
y is equal to m x plus b
C
y is equal to k over x , where x is not equal to 0
D
y is equal to A b to the x th power

Explanation

Each time x increases by 1, y doubles: 1/8, 1/4, 1/2, 1. This pattern is exponential, which has the general form y = A b^x. In this table, y = 2^x fits the values, so the correct choice is “y is equal to A b to the xth power.”

AI-written and checked against the verified answer.

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